{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:02Z","timestamp":1753893782137,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In this paper we consider the zeros of the chromatic polynomial of series-parallel graphs. Complementing a result of Sokal, giving density outside the disk $|q-1|\\leq1$, we show density of these zeros in the half plane $\\Re(q)&gt;3\/2$ and we show there exists an open region $U$ containing the interval $(0,32\/27)$ such that $U\\setminus\\{1\\}$ does not contain zeros of the chromatic polynomial of series-parallel graphs.\r\nWe also disprove a conjecture of Sokal by showing that for each large enough integer $\\Delta$ there exists a series-parallel graph for which all vertices but one have degree at most $\\Delta$ and whose chromatic polynomial has a zero with real part exceeding $\\Delta$.<\/jats:p>","DOI":"10.37236\/11204","type":"journal-article","created":{"date-parts":[[2023,7,14]],"date-time":"2023-07-14T09:23:14Z","timestamp":1689326594000},"source":"Crossref","is-referenced-by-count":1,"title":["On the Location of Chromatic Zeros of Series-Parallel Graphs"],"prefix":"10.37236","volume":"30","author":[{"given":"Ferenc","family":"Bencs","sequence":"first","affiliation":[]},{"given":"Jeroen","family":"Huijben","sequence":"additional","affiliation":[]},{"given":"Guus","family":"Regts","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2023,7,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i3p2\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i3p2\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,14]],"date-time":"2023-07-14T09:23:30Z","timestamp":1689326610000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v30i3p2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,14]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2023,7,14]]}},"URL":"https:\/\/doi.org\/10.37236\/11204","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2023,7,14]]},"article-number":"P3.2"}}